GCD of 915, 198, 585, 772 Calculator

Given Input numbers are 915, 198, 585, 772

In the factoring method, we have to find the divisors of all numbers

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (915, 198, 585, 772) = 1.

Given numbers are 915, 198, 585, 772

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 772 are 2 x 2 x 193

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 915, 198, 585, 772

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(915, 198) = 60390

GCD(915, 198) = ( 915 x 198 ) / 60390

= 915 / 198

= 915

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 772) = 2316

GCD(3, 772) = ( 3 x 772 ) / 2316

= 3 / 772

= 3

So, Greatest Common Divisor of 915, 198, 585, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 692, 601, 876
• GCD of 707, 766, 897, 910
• GCD of 816, 900, 346, 349
• GCD of 818, 418, 475, 210
• GCD of 469, 606, 845, 205

Given numbers are 915, 198, 585, 772
The greatest common divisor of numbers 915, 198, 585, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 198, 585, 772 is 1.

1. What is the GCD of 915, 198, 585, 772?

GCD of given numbers 915, 198, 585, 772 is 1

2. How to calculate the greatest common divisor of 915, 198, 585, 772?

We can find the highest common divisor of 915, 198, 585, 772 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 915, 198, 585, 772 i.e 1.

3. How can I use the GCD of 915, 198, 585, 772Calculator?

Out the numbers 915, 198, 585, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.